Magic State Factory Catalog

[\![4090,\,6,\,2]\!]

One factory with n=4090 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[4090, 6, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5} pure T9.41316d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![4088,\,6,\,2]\!] · [\![4070,\,6,\,2]\!] · [\![4156,\,6,\,2]\!] · [\![4020,\,6,\,2]\!] · [\![3994,\,6,\,2]\!] · [\![3578,\,6,\,2]\!] · [\![3577,\,6,\,2]\!] · [\![3498,\,6,\,2]\!] · [\![3434,\,6,\,2]\!] · [\![3332,\,6,\,2]\!] · [\![3316,\,6,\,2]\!] · [\![3315,\,6,\,2]\!]